by
Kaufmann, Jerome; Schwitters, Karen;

Answer

$\frac{4}{25}$

Work Step by Step

We remove the negative sign in the exponent of the denominator by putting it in the numerator. Then, we raise each term in the expression to the power of 2 and simplify:
$\frac{1}{(\frac{2}{5})^{-2}}$
=$(\frac{2}{5})^{2}$
=$(\frac{2^{2}}{5^{2}})$
=$\frac{4}{25}$